Computing the Goodwillie-Taylor tower of discrete modules

Let P_m and D_m be the m^th level and layer of the Goodwillie-Taylor tower for discrete modules. In \cite{intermont_johnson_mccarthy08} the rank filtration of D₁F is described and the associated spectral sequence is shown to be equivalent to the filtration by rows of the reduced Robinson bicomplex of $F$. We consider the rank filtrations of P_mF and D_mF and give explicit descriptions of the entries of the E¹ page of the associated spectral sequences. In the case $m=1$ these entries agree with those of the spectral sequence associated with the reduced Robinson bicomplex.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2013

Author dc:creator

• Lior, Dan

Contributors dc:contributor

• McCarthy, Randy
• Ando, Matthew
• Rezk, Charles
• Nevins, Thomas A.

• Goodwillie
• Functor Calculus
• Taylor Tower
• Robinson Bicomplex
• Discrete Module
• Discrete Functor

Statement dc:rights

• Copyright 2012 Dan Lior

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/42374

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/42374